Prime p₀= 2162126153686738079 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 76 2 40 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 162 164 240 242 282 284
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 284
Found by: Landjunge
db: batch=81, k=12, 2 40 2 76 2 40

SPT(16)	2162125181841465497	0 12 26 72 114 116 140 144 152 156 180 182 224 270 284 296	-971845272582
TPT(14)	2162125238364188681	0 2 48 50 126 128 150 152 306 308 330 332 348 350	-915322549398
STPT(10)	2162125272115552529	0 2 30 32 60 62 90 92 120 122	-881571185550
STPT(10)	2162125357377993989	0 2 42 44 60 62 78 80 120 122	-796308744090
SPT(16)	2162125511511631319	0 8 12 42 68 78 122 128 174 180 224 234 260 290 294 302	-642175106760
STPT(10)	2162125843302553361	0 2 30 32 78 80 126 128 156 158	-310384184718
SPT(16)	2162126453120273281	0 66 76 78 88 90 118 120 178 180 208 210 220 222 232 298	299433535202
STPT(12)	2162126453120273357	0 2 12 14 42 44 102 104 132 134 144 146	299433535278
SPT(16)	2162126829266259763	0 4 18 48 66 76 96 150 154 208 228 238 256 286 300 304	675579521684
STPT(10)	2162127838654302731	0 2 36 38 78 80 120 122 156 158	1684967564652
SPT(16)	2162128371052149743	0 6 20 26 50 60 84 96 104 116 140 150 174 180 194 200	2217365411664